{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<link href='https://fonts.googleapis.com/css?family=Passion+One' rel='stylesheet' type='text/css'><style>div.attn { font-family: 'Helvetica Neue'; font-size: 30px; line-height: 40px; color: #FFFFFF; text-align: center; margin: 30px 0; border-width: 10px 0; border-style: solid; border-color: #5AAAAA; padding: 30px 0; background-color: #DDDDFF; }hr { border: 0; background-color: #ffffff; border-top: 1px solid black; }hr.major { border-top: 10px solid #5AAA5A; }hr.minor { border: none; background-color: #ffffff; border-top: 5px dotted #CC3333; }div.bubble { width: 65%; padding: 20px; background: #DDDDDD; border-radius: 15px; margin: 0 auto; font-style: italic; color: #f00; }em { color: #AAA; }div.c1{visibility:hidden;margin:0;height:0;}div.note{color:red;}</style>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#  Ebnable HTML/CSS \n",
    "from IPython.core.display import HTML\n",
    "HTML(\"<link href='https://fonts.googleapis.com/css?family=Passion+One' rel='stylesheet' type='text/css'><style>div.attn { font-family: 'Helvetica Neue'; font-size: 30px; line-height: 40px; color: #FFFFFF; text-align: center; margin: 30px 0; border-width: 10px 0; border-style: solid; border-color: #5AAAAA; padding: 30px 0; background-color: #DDDDFF; }hr { border: 0; background-color: #ffffff; border-top: 1px solid black; }hr.major { border-top: 10px solid #5AAA5A; }hr.minor { border: none; background-color: #ffffff; border-top: 5px dotted #CC3333; }div.bubble { width: 65%; padding: 20px; background: #DDDDDD; border-radius: 15px; margin: 0 auto; font-style: italic; color: #f00; }em { color: #AAA; }div.c1{visibility:hidden;margin:0;height:0;}div.note{color:red;}</style>\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "___\n",
    "Enter Team Member Names here (double click to edit):\n",
    "\n",
    "- Name 1:\n",
    "- Name 2:\n",
    "- Name 3:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "________\n",
    "\n",
    "# In Class Assignment Five\n",
    "In the following assignment you will be asked to fill in python code and derivations for a number of different problems. Please read all instructions carefully and turn in the rendered notebook (or HTML of the rendered notebook) before the end of class. Be sure to save the notebook before uploading.\n",
    "\n",
    "<a id=\"top\"></a>\n",
    "## Contents\n",
    "* <a href=\"#testing\">Testing R Magics</a>\n",
    "* <a href=\"#understand\">Understanding the Data Representation</a>\n",
    "* <a href=\"#apriori\">Finding Frequent Items</a>\n",
    "\n",
    "** The following will be available during live session: **\n",
    "* <a href=\"#candidates\">Generating Candidates</a>\n",
    "* <a href=\"#arules\">Using ARules and ARulesViz</a>\n",
    "\n",
    "________________________________________________________________________________________________________\n",
    "\n",
    "<a id=\"testing\"></a>\n",
    "<a href=\"#top\">Back to Top</a>\n",
    "\n",
    "## Running in the 'R' Ecosystem with magics\n",
    "If you did not get Rpy2, R, or the dependencies arules and arulesViz installed on your system, then you will need to skip this part and go on to the first question. You will need to run the appropriate block of code in this notebook depending on if you have Rpy2 running or not. Each block is marked appropriately, so read the block before running it. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# getting things started\n",
    "import time\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The rmagic extension is already loaded. To reload it, use:\n",
      "  %reload_ext rmagic\n",
      "The rpy2.ipython extension is already loaded. To reload it, use:\n",
      "  %reload_ext rpy2.ipython\n"
     ]
    }
   ],
   "source": [
    "#==========================\n",
    "#IF USING R, RUN THIS CODE\n",
    "#==========================\n",
    "# You will need to have R installed, as well as Rpy2 and the arules library\n",
    "from rpy2.robjects.packages import importr\n",
    "from rpy2 import robjects as robj\n",
    "\n",
    "# this way we can write r code by simply writing %R\n",
    "%load_ext rmagic\n",
    "%load_ext rpy2.ipython \n",
    "# this enables the %R extension to iPython (does not work outside of the iPython shell)\n",
    "\n",
    "# these packages will need to be installed\n",
    "# open R and run \n",
    "#     install.package(arules)\n",
    "#     install.package(arulesViz)\n",
    "\n",
    "arules = importr('arules') # same as importing in R with the \"library\" command\n",
    "arules_viz = importr('arulesViz') # visualize the different rules"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you receive a warning on the above block, try to run it again and verify that everything is loaded properly.\n",
    "___"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Parameter specification:\n",
       " confidence minval smax arem  aval originalSupport support minlen maxlen target\n",
       "        0.8    0.1    1 none FALSE            TRUE    0.05      2     10  rules\n",
       "   ext\n",
       " FALSE\n",
       "\n",
       "Algorithmic control:\n",
       " filter tree heap memopt load sort verbose\n",
       "    0.1 TRUE TRUE  FALSE TRUE    2    TRUE\n",
       "\n",
       "apriori - find association rules with the apriori algorithm\n",
       "version 4.21 (2004.05.09)        (c) 1996-2004   Christian Borgelt\n",
       "set item appearances ...[0 item(s)] done [0.00s].\n",
       "set transactions ...[10 item(s), 2201 transaction(s)] done [0.00s].\n",
       "sorting and recoding items ... [9 item(s)] done [0.00s].\n",
       "creating transaction tree ... done [0.00s].\n",
       "checking subsets of size 1 2 3 4 done [0.00s].\n",
       "writing ... [49 rule(s)] done [0.00s].\n",
       "creating S4 object  ... done [0.00s].\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7PrlnKY3GQoB09Y1vfMPhLGRUBgGq1aDqQ8UPgS3PRip9//vf13qwzM+ee+6p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SEgBIRA7RGopQVce9TUQCEgBISAEBACiQjUUgArBhzvVcWAq8VGMeA4vooBx7FRDDiOja7EEail\nAFYMON5higHHsdE64HxstA44HxfOlhXz1zrgOMa6EkdAMeA4NroiBISAEBACQqAyBGppAVf2tqpY\nCAgBISAEhEBNEKilAFYMOD46FAOuFhvFgOP4KgYcx0Yx4Dg2uhJHoJYCWDHgeIcpBhzHRjHgfGwU\nA87HhbOKAcex0ZXqEVAMuHqM9QQhIASEgBAQAl0QqKUF3KWVOiEEhIAQEAJCoI8hUEsBrBhwfJQp\nBlwtNooBx/FVDDiOjWLAcWx0JY5ALQWwYsDxDlMMOI6NYsD52CgGnI8LZxUDjmOjK9UjoBhw9Rjr\nCUJACAgBISAEuiBQSwu4Syt1QggIASEgBIRAH0OglgJYMeD4KFMMuFpsFAOO46sYcBwbxYDj2OhK\nHIFaCmDFgOMdphhwHBvFgPOxUQw4HxfOKgYcx0ZXqkdAMeDqMdYThIAQEAJCQAh0QaCWFnCXVuqE\nEBACQkAICIE+hkAtBbBiwPFRphhwtdgoBhzHVzHgODaKAcex0ZU4ArUUwIoBxztMMeA4NooB52Oj\nGHA+LpxVDDiOja5Uj4BiwNVjrCcIASEgBISAEOiCQC0t4C6t1AkhIASEgBAQAn0MgVoKYMWA46NM\nMeBqsVEMOI6vYsBxbBQDjmOjK3EExoxf6rkrCJlxxx3XjTHGGEmN+Pnnn92kk06aVMd///tfB+OZ\nYIIJkur55Zdf3IQTTuj+9re/JdVDDHiyySZruY4//vjDffrpp+7dd991X331lUPJ6devn5txxhld\n//79fdtarfTXX391o402mu+rVu8Ny//zn//0uIw5ZtpwJAbcDjZhW0wA01cpRH+PP/74buyxx06p\nxjGGU9/JYsCTTDJJUlv+85//uN9//92NN954SfUw9ujrscYaK6ke5sLkk0+eVIfFgCeaaKKkehDA\n9PU444yTVA+8D16TwvvoI8ZNan8nvYhuLoSAYsCFYGqv0J9//uk+++wz9+WXXzomFsIXhWD++edP\nVgyKtgim+cADD7hbb73V3zL11FN3THAUCxjHN9984+add163yy67uDnmmKNo1SqXQeC9995zL7/8\nsuMTpWL00Ud3U0wxhVdwUHJmmGGGzB06FAJCYFRGQAI4p/fRrIcPH+5efPFFh1WF9YimveCCC7ol\nlljCzTrrrDl3jTyF1fzggw+62267reNeNGMskf/973/u66+/drPMMovbeeed3QILLDDyxpxvPPuV\nV17xbfn88889Y0ezxXJdeuml3eKLLx61JD7++GM3ePBgr5XT7oknnjjnCc638ZNPPnGvvfaaGzBg\ngNtnn3288MgtrJNdEKB/rrjiCofVO/3007tpp53WKzkoYP/617+8x+Hbb7/1gnjbbbeVIO6CoE4I\ngVETgVoKYFxUuABT3DB0J1ZIKy5oBOell17qHn/8cTfNNNO4mWee2btXcZdhLeK6/f77791CCy3k\ndt99dzfllFN2GTWUOfroo71QXGqppTqejyDFXcsf37/44gv30ksveaZ8yCGH+PPZyl544QV38cUX\nOxg5TB0lAPcfbeHdvvvuO7+MYqeddnKrrLJKp9s//PBDd/DBB7sVV1zRC4XwIvXxh4UWEgrC9ddf\n711X11xzTVSw2z1Y12W4oBFSuGtTXdB4GVLdtbgkf/vtt8Iu+Wuvvdbde++9vh9nn312g8b3sfU3\nJ8EbQf3++++7008/3YVlO27K+VLGO9GveDpSXZKMO94j1QWNokKIKdUFjZs11QVNXzPvy3BBM35T\nXdDMa9qSwvtwQf/73/9O7u+c4ahTJSPQmQOXXHm71cF0YBqpxAQtSggTLL+PPvrIbbTRRt4SxEqd\naqqpvBDF4lx22WXdxhtv7K2aFVZYwf3444+dqsdy3m233dzcc8/t1lprrQ7hSyETenxH8GFFb7HF\nFu7+++93W221lbeMuWaEIDzjjDPcPPPM49ZYYw1vfWNdoZhMN910br755nOrrbaaZ/zHH3+8O++8\n8+xWh+W7/PLLe6HMPVmiLSgBWYKBbL/99p45nnjiidnLXY6JAfOXSjAdPAOp1N3rgOm7O+64w22y\nySZdBGrY37wXwhhvBeMCzwfelSLUyhjOqw9cGQ88D4WNdrVLzBEEeSqhYJfR38y3VLIYcGo94IKC\nkkrwvry52Uq9FgNu5R6V7RkEamkBdzcUaMAILP5w1RYhEprMQkXIwSjXX399t+6667YcRyVGS+z1\n0EMP9Y9+5JFHvPDdfPPNC2nUKCu4uzfYYAMv1LHOEdBY8O0SLnTeBeEi6orAww8/7FB89t5775Yt\nObwoTz75pDvzzDPdTDPN1LXyEs6g1Fx33XXuiSee8JYQ+QdYRSQK0afrrLNOCU9RFUJACKQgIAE8\nAr1TTjnFWwmrrrpqS1hiLRPbO//8873ARHtdcsklW6rDCt9yyy3uoIMO8rFDBDHCtJUMWrTmu+++\n2ysQuDlXX311q7qtT94FVzxMHHdhnQmNn/g4lhVJZihEWfd6me3H0iGWu+aaa7bt8n7zzTe9NXrc\ncceV2TRfFzjsueeert+ILHes7tAtitV49dVXu8UWW8ydfPLJuaGP0hukCoWAEMhFYIwRSTqDc6/0\n4EkYCPGhVCaKFdBMeBCzveyyy9zaa6+d+zxzJeJCzBLxJ4Qd7jSEFS7hWJvNrZRXD/Wy9IA6iN0S\nfybmm0fUk1cH5xDYCHIs8ZDpZutp9E5WFtxw6WI5ZTOjcbfxnEsuucQ99NBDPh6Nqzz27lZn7JMY\nMO7vdu7HvXrggQe6p556yiHUUELuu+8+77ZvZ8kXLkkEbCPlB28D1iShhhg162/6eNiwYT4jnkzp\nGKEINRvD4b3MHXIUlllmGR//B9ewv4m1c+3222/370l2dlECF8Z6auyWGDB9nRLnpM14nVLj0cSA\nCaM06u8i+DAn6HPwTiF4FuO2nblgz0UhBeNGPMDK6rNnERjlY8BPP/20d9XGJo4xr1g3zTXXXO7m\nm2/2VlcjhtKsHtzFLFd69dVXCzH2vPYgxJm8zdaw0hYTEHn12DmWzSAkQmJyE8MEN+LYtPumm27y\nyke7MbB2Y8BYc8TlEf4bbrihb8OWW27pE7qI0bcTPy0SE3zuuee8dRnikv3erL8pj6XOsqVG1Oo7\nMBbJYVhppZU6VZvt7/3228+7p/EcFCXFgONI9YUY8MCBA31IhbfEK8hySVZpbL311l6gx9++2BWU\nZPJqWG1hRB4NfOTZZ5+1U10+G3kmd911V5+70+WmXnKilgKYDknVSMG/SKYpAma22WaLdlczTZ0B\nRTyYz0aEcG6m1SI8sYwalYspCjwbd/icc87ps3gbtYX6G9Vj9yJc2bgjJFymWGxY+whoktO22WYb\nH8s855xzwqKFv+MqbcXKs4pPOukkv3aZd4bsnXC/k/2N+7xVIgM1L3HN6kEI4TVpFrst0t+MczLh\nG1HW+9CoLEIfLwoWbkh4RwwbO88xyiNMsSjh8SEpMZXALtVypQ2NPBBF24iyWsb6bOZtKysuYu2D\nF6V6GOAjjXha7Nl4kM4991z31ltveS/S66+/7r9T16mnntpxG0o4Y61VQkHnPhR2I/YnIAcnVN7x\nSIQKI3wtpDBBFy9c0YTGsI66fK+lADa3kIFU5TEWBm65sMMZJEWPTViG7p5W7ucdrTzPRPGwY3v/\nosdo4Sw1oZ6i7Q+fn30eTJr3C/FHe2X9cbZ+lkGZMAnLU2dVx6xdJpaZhw9rtkmSK/v5uOVTxgvt\nsfayLhsLoCx8GMv0F56QbP/kHSN4yGMo6/ke7BH/VN9fbu2exIM+aIXw/DCuIZQSxuUzzzzjQw5H\nHnmkX9LItbPPPtuRHLreeuv5FQCcw+PCaoCffvrJz0c8U3igyIexP1Z0QFizKIlGJDOizEMkJ3Kd\nlRhsDHTnnXdaMf9JciqrUEgiDHMnjAd3KtxLDmopgOnIcEkJ2hGxMKOix7g2oUblGXhojDBFI77b\nsTFLO6ZMeN2OqcMo7zoM0OrIu27XrC12bPXbsdVjx+F1NEMsLyvTrD2Nrlv9DO4QP87zDD7tOXxH\na7dJH5bnGc2OmbD8GTUrb9fNS8LzrT3UwXeuoVlDVt4fNDlmPCDIYuPNMOYZRvb88Niw4Vzedc6B\nI9ZEo/bRjkbXqd+u82kKXLZ9tMfI2kNZLHq7367HjjnfSvlYfcztdvo7W5+552PtzZbPO2bM0p5Y\nf3NPkfpZ4tXOeMvWD8/CAkxpD/fDQ1uhDz74oMNjiDfv8ssvdxdddJH37OHhok7aZhsMkWtxwQUX\n+EdQ7thjj3XbbbedT+xjfwSENwq5/ZGnAcHfFllkER96wZOE58B4JxgOGjTIr+ggQZBci5A4RwLh\nXXfd5b2ObGgEYaHjheyNlJYxUNEbMylCNyCWQriLU9FjLCTcQo3Ks3EDTCVciB9qVMbIYJZG4XXO\nccwAtTbmXTemhzsw7zr1cI3JHrtOGRhp1p1o5bHCuZ+2Nmov9YRk99u58BiBFOJHljGaKv1jriie\nxZab5pYNy1Nns2MSe6jXqFn58DpWPxYfhHCk7fyhwfcb4dqGwvLNjnlfMMa1bhTej3XA+GyEL88v\n0t+0nXEX1p9tH0IGNzRljGLlqY+/sP+4h3EVkl0nYQuXcqw+u8eu0xb63O7JXi96TD+Frmyrv+j9\nVh6hgVvcjlu9n/LN+psyRepn3vHHHCxSnjJGYXkEL/ModGeH14u0B0s2FOD2nEaf7DVgcdgvRmwS\nRFgH9zBzk015EK577bWXX21AkieE0v3DDz94Icr9WKgWr2W9O9gaYSWbWxwLmroR1OyFYC5pQluE\nlU477TQfogjnGGMVFznxaIgxxJavzNMjjjjCP7eVfAZrV09/1tIC7s4YMHEw9kKOEcwqHAjZcgx0\nBnxosWfLcEwdxvjyrnMORtmsnqzwDeuCGaFFNipDedrRrAzl0HipM6SBIxI1WL/Ke/NO/PEdFxNL\nX9ohBGU7MWDcYKyhNrJ3gmmccMIJfimXXSv62SwGDNNACKG0NaIi/W0x+0b1tBIDRhGBeaMMhcS4\nMmzC8yioLFMqSooBx5Hq7TFgVg6cddZZ/gWff/5573JGiUTIkk+BMCX0hOKN9Yt7mFwDxgQrQbB4\nKceSTAjrlR3i7I9kKSMSBEni5J4BAwbYac9DbE7jZmaeGRFaI6eHvA6ejyva5gbuaFZj9EaqpQXc\nnUAyiNh1iphDO4TWRSYuQpy4Y7uE9gyjZMCzhCC0yIvWydIlXDFmtRe9L1aOJT7EckJisxJbs8wE\nwFpEGDHhyJrsTmItLjHMIUOG+AkJZigwZJLjQgsnd5ntor/BhuU+KYQLzTT6lHrCe7Eu2BUNQZwn\ndK0swheLNtu/dl2foxYCzF0sSmjTTTd1ZPqTAY3CyZI7tsTFS0W8lj0KEI42v1DKcUOTFIeQJh+E\nlQkxYlwuuuiintehqBohfBGmT41IDMQtjactJNzTtsoBPrnDDjv4yyicGFK9kWq5EQfuBlx9Yee0\nAy4WXOjKyasDAUJHMtjysiHNlZhnvSJ40MbIxGMTDRIO2CYyj3gOApa/PGLQLbzwwj7DmISG2EYa\n1JPXFuqkDqxRBj87YcWo0TvZPTwHLZfdnvKyTYl3MWF5H55lcRy7v5XP1L2g0aT5Y8ISv4IBEGdq\nh9D0cTEz/mKE6xNmgPssNkab9TfCD5cde0mHCXzZZ9Kfre5vzbr2ww8/3DNFvDPZ/qbfiOXh+st6\nOLLPD49REqkrNYNZe0GHqHb+Ds9CkYyNq86l848Qju3sBQ3/skRKamYM01fZPcRx/0KNFDxfoI1/\ntJ052GiMMQ5DjxlznYzt3ki1dEHDdKyTU0CFyTUjhNm+++7rcLvw3CwZ88qeZ3CyqT4WDJohQpys\n29BtEt4Tq4cyxFyIWbKWldgJgw9hmkc8N4/eeecdn3jBHs7EShAiMaItsXrsHupAK84TvpRBaBB/\n4S9F+FIXTAe3cbuEFUemJv2IItSu8OX5TH6YTiMCE5SON954I1qsUX9zEwoDY6eR8KVckTFMuZBY\np41SeMMNNziyTFEY8NTQpySwsLQMi6UV4Uv9KJzEmFMJBTulv+35YSKXnWv1s0h/F6kTXBAMqQQP\najY3mz0DHtTOuCHue8ABB3RUD2/MCl8uInirEL7UjeLRSPhSJhS+/IRqK5vJcH+dqJYWcE8ARGo8\n7jssvmZWM8KN2Aa7Z5kbhDYT/8B1gyAtqsESs8XtguaJ9QZhES633HI+pT9mCfuC//+PdXsIYCwa\n4oAwXxIqaF87RGySPYT5ZaiYRd9OvX3pHvqImDdu+GY/KZl9b4QgjG3o0KHZS6Uew8xZ547FS5Ig\n7kRcf1g6qUpTqQ1VZbVBAMUx5qWrTSODhvS29gZN918lgANEsIJJJsKqw8rJan9ouMT+SDogSSAv\nfkciA65FfsiAxIxGhOB8++233eDBg7swcVy8uBER0Fh0uMezrmeu4XrBZcUyAMssZVCSGUg8GGWg\nlQlFXJKEDNL9+41IjhLFEcCSI2zAWCD21QxnrC2EIZ/hxgbxJ+iKEBACfRmBWgrg7owBZzuXJB72\nycUiNlcL1ixMExcc1kOzH1VHAF911VU+jogwRxBjmeJ2Q4gjGEnaYqcpfrnIlu9k24IrCrc2Kfsk\nGhCXZO0mFjguLzISSe/HBUtSQpYQ7CQp8bvEJpwpY+7RUKDzLFyquCqJbyJYmhF4IHRCl1Cze/Ku\np8aArU4svlbjpXavfdLPzWLAVpZP2o7bn21EwQwvBtYleIINf8TjSHpC4cKjsccee3RRpsI6w+9l\nvBPhHMZLVqEMn1PkO2OXsdPMRdisLsWA4wj1ZAw43ipdqQqBWgpghA3CBWGTQjC9IttRxp4BU0VQ\n4r7D1YigLOpaRtjiBkaA0g4ShIj3IQhZ+oFQbCVrGKbFmjuEJNnW1FNE2LBMh3V8CG8wRUAgrBEQ\nKBjEimgfli9ZvcQPYz8EkcWJGBwCptGPCWTvyTsmBk4cPVWQo2zYtpR5zylyDpwRmGBVlMCS+CpJ\nawhZPBKmEOHJQKCTbU+Io1WXPh4XW25RtD3ZcrTBEtSy11o5ZqwQXwyVuVbut7JswMCYSRXkxLZj\nOQr2rGaf9DVKVF4CZrN7w+vMTfhVs/BVeE/ed5Rz+IyNn7wyzc4x3pjPtu62WXld7zkEaimAew6O\nvvlkJiRJP7jYLUEL65fzCFssaJbWpDL6volea28FpggYmDrKGgwZT4dICAgBIZBFQAI4i4iOhYAQ\nEAJCQAh0AwK1XIZEDDi2nKcVTIinpBLuuzKWXuDqwjpKJWKCqYR7HAstlYgBl7H0graUseysDGyI\nAdNXqcSYoa5UKuOdwJY5lUr0NX2eSrj5y1iG1M5Sm2zbmZO0J5Xob3hFKsGzUnkf95fR36nvovub\nI1BLAQzTKYMhlzFBmVRlMGQmeRkTtIy1jzC/MiYosXH+Uil1HbA9v9k2nlau0SdCswyGXFZ/lzGG\nmUtlKKMI3zKUUcZeGQK4jLlQVn+DSxnKKLyPnIIUQgCXMW5S2qB7iyEgF3QxnFRKCAgBISAEhECp\nCNTSAi71DVWZEBACQkAICIEaIlBLAYyLKjUOAtZluN0UA46PWsWA49goBhzHBvd8GS7oMtysigHH\n+0lXqkeglgJYMeB4x5cR91IMOI5vWTFBxYDjGCsGHMdGMeA4Nn3ximLAfbFX9U5CQAgIASFQewRq\naQHXHjU1UAgIASEgBIRAIgK1FMCKAcd7FRdVKuGC1jrgfBRxQZex7Ewx4Hx8OasYcBwbrQOOY9MX\nr9RSACsGHB9qigHHsdE64HxstA44HxfOlhXz1zrgOMa6EkdAMeA4NroiBISAEBACQqAyBGppAVf2\ntqpYCAgBISAEhEBNEKilAFYMOD46FAOuFhvFgOP4ai/oODa4oMvYalYx4DjGffFKLQWwYsDxoaYY\ncBwbxYDzsVEMOB8XzioGHMdGV6pHQDHg6jHWE4SAEBACQkAIdEGglhZwl1bqhBAQAkJACAiBPoZA\nLQWwYsDxUaYYcLXYKAYcx1cx4Dg2igHHsdGVOAK1FMCKAcc7TDHgODaKAedjoxhwPi6cVQw4jo2u\nVI+AYsDVY6wnCAEhIASEgBDogsCYXc7ohBAQAkKgRASwMj/77DP3ww8/+J8I5Wcs//a3v7lxxhnH\nTTvttG6GGWbwnyU+UlUJgV6BQC0FMDHgCSec0I0xxhhJILKmbtJJJ02qg7V9uPAmmGCCpHrYX3js\nscf2jCelItzzk002WUoV/rdYYYITTzxxUj3UMdpoo7lxxx03qR72pR5//PHdmGOmDccysEFY8Bux\njL8UIiY41lhj+T5PqaeMd2L80p5JJpkkpSmOGPCff/7pxhtvvKb1/Prrr+7ZZ591jz76qPv444/d\nlFNO6SaaaCIvdBG+7Ef+xx9/+D3JmafM9WWXXdYNGDDAzTPPPE3rpwC/Bzz55JMXKhsrRF8zx2lb\nCoEv4xelIoXAgrak8D5+Sx1+k9rfKe+he4shkMbxij2j5VIwHZh6yiDkoUzQMgQwjCdVALMBPUwd\n5pNCxIDLEMAoOakCGCZbhgCG6YBLqgAmBpyKjSVhtSOAUSS++eYbRx99++23XlBNMcUU3rqbeeaZ\nvUBute8Zw6nvZDHgVIaMwgVzbySAEUQ333yze/DBB910003n5p9/frfyyit36lvaM/roo/s/w4Mx\n8OGHH7ohQ4Z4obrddtu5RRdd1C7nfoJzqgC2GHAZAhgFO1UAw/vgNSm8jz5i3KT2dy7oOlkqAooB\nlwqnKhvVEPjxxx/d448/7p555hkveFH4UGxQJmCE/MFUUcBmm202t/rqq7vllluuoRDrrRg+9dRT\n7sILL3SzzDKLW2qppdp+RwTxiy++6Oacc0637777SpD01gGhdjdFQAK4KUQqIAS6IoD1dcUVV7iX\nX37ZzT777G7eeed100wzTdeC/38Gqw/r+J133nHfffed23DDDd3GG2+cbDFFH9iNF3i3c845x73x\nxhtujTXWcFNNNVXy03FPDx8+3H3wwQdu0KBBbr755kuuUxUIgbohUEsBrBhwfJiUERMk/qYYcD7G\nRWLADzzwgLvyyivdAgss4Pr379/JvWq1IkBwz/OXJazh5557zjHODzrooIbCpYz+RkBWFQPmPRGQ\nxFGx7ou4Ththk8Xq008/dWeffba7//77vaITXlcMOERj5He8LooBj8Sjzt+0DrhJ78BYyviBdpgu\ndaUSllcqIYBh/qlEDJi/VCL+R5tSqep1wAiO0047zd10001u8803927WWNyaZCX+8oh441prreWW\nWWYZN3jwYPfkk0/mFfPnEDKphAAG41RCaUOQG4HH7rvv7l3svE8R4cu93BfDxuq2T9z2hx9+uNtn\nn33c66+/bqf9ZxlzwWLAnSpu4wBcyBVJJRQu8EkhiwGn1KF7uweBWlrA3fPqo95TyPj8/PPPHYIK\npkwyzfTTT++TZUY9NFp/Y1zOd999txc6RYVNs6cgYBEu11xzjRfKzcrX6fpZZ53lvv76a7fmmmtW\n3izc9ngezjjjDDfjjDNW/jw9QAh0BwISwN2Bcg8+A0uDuOMtt9zi3n77bZ9RS5YlWahYnWjcCJNV\nV13VbbLJJsnZ3j34qpU+GmHzxBNPuL333rv059AHd911l9tjjz3ciiuuWHr9VVQ4bNgwd8kll7gt\nt9wy1wVfxTMZx7ikhw4dWtjarqIdqlMIlIVALQWwYsCduxchahsZYHGwccHUU0/t5phjjs4FM0cw\n9tNPP9198sknbokllnBzzTWXZ1zUxx9CGMI9+dZbb/lnbL311m6DDTbI1JR/OKqsA8ZFfPnll7ut\nttqqsLDBjRiLAeehiSV8xx13eOHC5hRG9GEZy5DKjAHTtp122slbvmFbrc3NPlvFJqwPjIg1b7TR\nRloHHAITfFcMOACj5l+1DrhJBxG37al1wDyb9ZQwHZgW6/pYa8gGB8ReiV/9/e9/d+uuu26XjSNw\n2VmCD2sqTdjyughf6rNzLJ3B8lpwwQXdZZdd5tdjHnrooU2Qcb4NfX0dMPH/iy66yGMci/fmAQXG\nUF4SVl551rMussgi7txzz/VrYa0MgrkMAYySlbou1NYBs7kGoYt2hC/vZWOvKDaGBZ94am688Uaf\nba11wCEyI79bDDi1v0fWqG9VIVBLC7iql+1N9bKRw1FHHeUFLjsE5TFhEruef/5570Y+88wzO5Z/\nwLRZFoMQnXvuuVt6bSbvDTfc4JZeemkfm2zp5l5cGCULF+f333/vXfMoJQsttJC78847vdtzpZVW\n6pa3u/baa91+++3nFltssW55XqsPQSlEodtss82Sd49q9dmUR7G89dZbfaiEOcEfS5RYWz3TTDO1\nU2WP30M+Bh4oQkR4PEjSY2kbG5G0syFMj7+QGlAYAQngwlB1X0F2VILBDRixLR9CoBkxcRHAWMYk\nqOy1117+c/HFF292a+51hPBtt93m27DOOuvklukrJ7HGsKiIwbJ+1TbRwNpjC0US1vAksFVmdxCb\nULBe+JRTTumOx7X8DDbbIJ+gaJii5QdEbiCBEGWIjU9QKllzjQWOJ+iLL77wStKmm27qXdPm2YlU\n1ek0yiqeJDwQeJfaIdz7tIvn4hloZbc7YumEN9i2lN3SyM/gnX766SevbODh2n777dtplu7pBQjU\nUgCPyjFgJt/OO+/std+8zQfMfZcdW2xY8Morr/hMWqxi3NIxysaA88rBmO6991539dVXR/d67gsx\nYLwEWL+4NmF+ITbg+eabb/pYJ3sZt8LY6adWYsDWB9xHctPFF1/s90+uQwwYT8sLL7zgN8V47LHH\nvGLI2GwFD3s/PlvFhvJHHnmkW3LJJX38l+fSZyhFJuywIsGMhEIUKjsfPte+k3yIEkFWNfcRWqA+\nQgADBw4snGXNigIy499//31vtaK4IoyXX355HyNvZr2SUY/wRdlm204oxIY2sQYahYONToriTTu0\nDth6u96fY4xYhzi4Lk0kTsUEh/F/9dVXHW6mdtuHGzfPddtKfUwohGKzydSsTiwpmEMzLRvGgAWM\nCziPmFx5E5E9h3kGlhwTutFzsjHgvOewRAkhDPNlw4ksoaGjvZOVyrMb7Q+cvdeOcfmyoQVuV5QG\n3o11n63EBsGKuDXJZizlIT6JNcE2hs3qOeKII7zlwppeY9ihAGZ7SQQNwhdmCKbN6rR3g5FCRcvb\nfZRH6JI499BDD3kFCOGHkJh11lmtWEufWI/ES9vZF50+Ovjgg71rnjawFpe9ncEDzNpZjkU/855F\nsKE/rrvuOv/+W2yxRcc94Ms16zfmBImG4IZiSD5DjNjeEi8Du3YxzyiLuxd+scsuuzgs6WbxU6xu\nEtGYG1ip7HmNtwoh/tprr/kwwrbbbhtVXpk722yzjTvmmGP8/LG22vwGG8YxwpytTpmHRcISzCP2\n4r7nnns8D8Wyb6ffrT36rBaB2mzEAYP4xz/+4XBxMalx/62yyip+ILULAXGUVGIitptsEj4b11Sz\nDd+JryFAmXQxapQIhAuVCYcl14hgVo3qsXthLgi0LCHo2ICBZTkoTFiPxOVaIe7FtUs7VlttNS8w\nL7jgAgeTLbopB4IFbwEZ4jDNAw44wHsASGRCqDaqB8sW5QEmGBLYmFCByfbr188LXs4hdIoS5fMU\npSL3o0hhnSH42bISZeLEE0/0DB8G3SrxAwHsz9wqIaQQtgNGhELYaIMYK5Ya4xiFC0WhEcax59Hn\nRbGBDyBQd9ttt07VgS8COEson+yahUcoj4ivI9jWX399L5isv2kTwvjoo492hxxyiHf/5t3POfIE\nSFpkzCG4rQ4+UQgQyGTMo7gwp7PEuMVaJ2yUVexpR1Yx4d2Zh4zzRkSd5513nt/edOGFF/ZKF3ty\nv/rqq41u07UeRKAWAhiXM8we7RFmzCeJR6y9PPnkk72l1YMYddujcWWhrbZjTdJINHjcVe0wxbyX\nRKCjeYe7KOE2Q9ARl6Kv2IQBpnXsscd6xpdXT/bcu+++6wXtrrvu6q0PnoOAYEMKGBjutmYE88Ut\niXBCAbAYLQoTTBahgxCLEUwahptldlYezwdkv25Du4gV5jF9u6eMT9zejzzyiFcsUCCJSSP4UFbo\nC7Liu4tOOukkL4xQQiA8IuZRQgCi6IFTlZiQnJSXy4Cwy1NGOI81CoZZeu+997zHY+21185e6jhm\nPMGLGimUxKIZ/yzrixGKC8I1b5cz9szmmrmdY3XYeRQGeGLeO1kZdmdDSUMxRvjiSVphhRXc+eef\n75M5UTab0cAR7vdwnTv9z94AVRDLyGJ5DvAH5nCMDjzwQJ+0Br/E4mc/dvCJKV2xeupwvhYC+Omn\nn/Yb05vbyNxL/CQhGZcM+HYoFBzt3M89aLDGjNutg/uIyaD5NiLc7s1cX+bazKsHBonVlMeYwvIw\nzEb1hGVhuAh2IzKkEZAwBesnXLNYDbi+ihCMZP/99+/Q/q0e7sUiZVI1szZR2rAIUNSMwnciSQjX\ndoywgGG2WTJs6K/w5xoR1DB3YoZFKHynIuWtDC5eXOMm1MJ3YtMLYo7N+tfqsk/aDF6tENnGWLgI\nMyMs0fC3nxHCUKvtaQUbvBB5rnf6I8TG2sgn6+Oz21ZyHkad/a1h62+uGyGA+TWmGDE+Yfgh5b0T\nyjDhgywhgE2pyV7Lq4cyKGONLFmUTTw/UPhOKLdY60UUN+aE1UGfsvyRTwRiSDEFP3Y+vJfvJBoy\nl4jVZ+cT/NZCJtn77BhvKcowocqPPvrIK2gYBXjjehvVQgAjeMgANKLTbVLj/oXRkvBghGAtcoxA\ngoqWz6ufAYHLqcjz8u635xObMndUrD24HtGMmYThwAyP+R4eU78dMyhhkGAXuz8sz3fI7v/rqPMx\nlh8Znvb+1Itg4tMmOvejOCC0oNj7Wf24FdlIxCjsb7OsYJZGefXBIHG3Q9Z+Pu0YVx5/UN79WJNm\n3dr9lLV3Iu5v1+08TN+uN8OXd6IsFNbf7JgxgBIV3mv30x6UnVbnA/OA8WeUh4f1L2W4jgCz2KE9\nn/EbYkJZU0qa4RFeD/ubOqx+vkPhMUw9zyNkfZEtzzHekB9++IGvnux9OcfYDevP60/mUKiw2P1h\nfeZx4Rz15fU3+NGf2ftRaMN3CtvD9/DY6qe8tSlbH8coS2F/0R4jeCjhhEYE7wjfCSWZmDOudNbB\nG7FbG16vHXfcsUM5s1AO4aMddtjB8wGUX5Lmwj/mHIQSiWWN8oxHDYJ3sNSP0ACeMCOUISN+PQze\nATE/MQb4+UvOwX/IB+lt9BeH6uFWMynQaoyMcXKM9cnACt01CKlwAMeOLREpdt2e1+g6HYurLRzQ\njcpTZ9511uU2aw/3YfnBXMy6oL7wGGxgGnnXOQfDginmXacuiOv8GYX1cy485r2J+Rn+MFIYBPVT\nDqI9reCDVR1auGF/Ux+MPrR68vDEZY1FBll7rT188n6m8OTdzzN5Fz7tfuriPo7pK5iSEed4Tz7D\n8lzPO7Z6Y9dj/cO45r3wMEDUY/3NJ7ixBAfFyCjv/cL5gaISelaalec6CrG9v70fzzQmas+mTWAW\nex/K2f12D+8UUvZ69hiLKHxf7rW+4Hu2PBiZMOK6vS/jGCYdlrf+ppwR49vmKufsfrtuSq69B/Xl\n9Tfjj7LZ+2mbjU3qDNtj/W3PsuuUt9yObH0ccx9zn3HDO/FnhLAKvTl2PvzEfRvmzCAksSqJcbNS\ngFAgyWUoDySF4ZkwjyVCkHASLm+yukkAIwGNvywx57hOyMp+aAPBiuVNngGeNHJB+LUwKFTc+E6/\nQygLKAdY+Hg8OE8Ca2+jkb3Ugy0ne5EBYC5aBiR/EFmyJCWFE4LB1hePYZQw3/D9waDosWmBWaZS\n9H6eBYXlYbgIX8ObvsL1QxkjvpNURcIH1Kx/2DSByWwUPo+4DgKa7TaN8urDfcx7otmH93MPxy+9\n9FKHuzHvfiatWQV59yPATABZO0LFg3uM8u5v9zrvhXWfdz+hGuKOMFzrD9qQ936p12kHVgl/9n7U\naXOU58L0wITn57WXMpDd/9dRa8cw2NCatTqsXvsMn4/HJhQmhg9KcGy8hPfjYaCskd1vx1wLY6qx\n96MMmdHZ++lDVhEYxe4Pr+OFM6U0Wx/HzEsEI5Stjyxym5tWZ/aTjHByKiCs9ocfftj/zCTxchQa\n3MW8j2Vi9+vXr2PjH1y//EoY1itJpIQviEkTBw//GEu4wrHW2V/gsMMO8+Em3MhYsVZ3uALEBC7t\nYqzFiPGKEcCKiN5EtRDAxEqIb5HWj2aFJodbhUQZtEXcGqMCMQB5/0YDrREOCEomSdZaaHRPo2tM\nPIQQGdxGJEDwDAY6beU7kw7FAe21CLGXL8oCGmvI0Em4QTseMmRI02oQviSMwDTYHzskkm1YS0tb\nY4S2no1thWUZdzAM6wvGJIyO51ZJxOvYWAUhHDIf4n+syean+bqDGEO4Ccm/MAxQjGDORubGrxIT\nGCtKWZZoU2h1h9dR5vmpxyzhDqXNjZJ1sLJQ+httNLLeeuv5/gm9PtlnMXYQiCQIZsnmeTj2s2Wy\nx2CA4hojXMMoxrhlzWqkDQhO7mu2k9t9993nk16pH4FN0h9KNe8AH8bKpQ42+2FcEsc1JQIDiZwO\n3MlkfqN0YNXSnvAPxRELmQQ36uXvhBNO8BnhyIDhw4f71yNGbsSz4EP0dxhG4Tr9b2PTxgirInoT\ndfYF9WDLWW6Bm4QJj/bFdzqWJKxQO+3BJlb+aIQSGYwkQ2STPIo8HJzQJssiGFWojVIvMUCWRDDZ\nLNEFLZm4UNF+gmHzs3K4nZiQuNZwsREXZikFjL4I9e/f3z01Ytkakx+XKW4pXIxMWhJlWJ8cIzR+\nFAewztttjDbSHoQ7WcgoGKFbM1Zv6nks7wEDBngGhxuQeUAYBkuQDOnQlZz6rGb3s6SH/AyyVVnW\nRWwaxRgGj0JCW0NXd7P62rlOHxOD/PLLLzvlicB4UYiyxJhE8IBhlhi7KGzwFXOvhmXoYyw5lBws\nyhjRJuKXl156qc+Gxs0cEuG0q666yp166qkdoZvwuiVGkTjVSNDbPQhChH0jAczYZHzwTOaVuaKZ\nm3muYKvbPkm2Q3GFUEDCxFfc0OCNZwE+zTKrWUaEgGx+7bnnnt5aZu5i3SLAeb6FUewZ3I/SC/5G\ntA1XNkonMeTsGCfbnL5kLmbd6LQZJZxPrO68jYvsOXX9rOVOWHUFqzvahZaHawaGFyZFNHs2DBGr\nFNcbAi0rOJvdn72Ods56X5aChQly2XKpxzwHhgUjb1fAYaWjLCB8ERK4l/OYc7atCFeYKVt3htnU\nVg7Gh2KAxQKmoVvXylTxidWCJYEbHqaF0IXZFVVwym4TSg5WEN4OkrVIwGFMZBOyyn6u1YenBaEw\ncMQyGctFoF8YM6G3ByuIpThsHsI4iBHjbdCgQV6RoD4sKSxj3NNYbgiCIkTWP1u24o4lfIRiglWI\nl4DlQHhZYsR8RXggpBDCsb4lGZHdsFCssSCrJDwEhG5ixHuxrIr1z4xLPtmsxghLNauM2LWin/Rr\ndlyhgNLXeZ4W+AcYwqtIUmOTld5EEsA17C00YxIRYDhFLAwG4VUjNG6SEnC9sYaOyZEyYZloMP0i\nv4pUQwgLNwmLDouHyY27k3eGqcOQcftiUcGsu0v4wuTYAQuGUkcitkf8Ps+1WmV7EWzMCRRLLB5T\n2BBcXCN8QYLQ4MGDO8V/Y23CosTiI96L4CCxDUuv2WY52foYP7hOEd4IchKLUOqKCqLjjjvOezvw\nfDH+UPRImqI+FAqUS97JFI/s88s8xhpFcWGDkBixKQjxaNpIu0JrNnZP1eeZp7SdkBZjozeRBHBN\newshTBwT9wsTM0ZYB8RlcKnapu3EVliAj0AuIsCzdaMF48LFzdzO/dn66n6MNULMlXfGKuYYiwaL\ngHWcuMRhkN1BxMzYAa6Ia7I72pN9BsyXZSLE2mJWW/aeso5RiugPxifCDssT6whFE8zY/7w7XfRl\nvRfKA8t+CIfgxcHzhRfHYrdZV25Zz82rh/BNd/drXjtaOdcb22zvJwFsSNTwk2QE4kwwGVx+CAU0\nZI5xtxAXY7KQvJZNOrn99tv91p5Dhw5tyRKGuZFggcuvqBZfQ+hKaxKuP34WklyEqhkhwo34OqGE\nrBuutBcqoSISZ/AYYOl1N2G5Ehtn9zVigoQtUjw93d1+PU8IhAhIAIdo1PQ7MS3cXFhnJDmg5eOS\nMndcXmyEV8GNzN6waNMI6EZxUZg/8RxcsAic3mhJVNV9xODAByurKiLJheQVXHx1cOs1ek/iwGS8\n43EJY7CN7inrGp4KFKHuygYvq92qRwjkISABnIdKHzqH4CBZBOHKciLLJsSFR8IDuySRQYgbh+Ve\nMP+YQO9DsLT0KsQIcbuiyFTliiYbnMzbRkunWmp0xYWJxxI/ZUlZdxFeH5KeCK80SrLqrvboOUIg\nFQEJ4FQEe8n9xJZIKCJbmI0NiHPiziaOxjIA9siV4I13Jpix3AIh2c4SsXjNzi+HQriTwdlb+oDE\nP9pL1n24XWCj90y5RoYxa1zJwGZzB5EQ6AsISAD3hV7UO3QLAsTe2S6PzTIaLTEp2hiEim1swPKZ\n3iJ87f3I1GXDBpZwNfplICvf7qct2WFpFhtOiIRAX0FAAriv9KTeo1sQIAbPz7ThUeDnGLObAxRt\nBNnrrDNGkLOPbqP4fNE6e6Ic4Qs8Aix9s60Ey2wHlja7NJHw1dt2OSoTB9XVNxGQAO6b/aq3qhAB\nEqZYJsZaXXbJwoXPOtIixGYW9rNyuLTLdmcXaUPZZcgzICmLvYrzNjRp93nkJ7A1KUqKLN92UdR9\ndUZAArjOvaO21RoBNiNAEPOHO5nMdLLHWS5GdjBLZrDg2FyDPzaKYAs/9hJGUPU2l3OjzsAzQLY4\nGdJ4BooqJHl14nIm6598BXYpq3tWeN476JwQKIKABHARlFRGCDRBAJcy+9xi4ZKwReY0ApaNTLCS\niZHyKzos8+rLNGzYML92nc0kSM4Kf5Wo2Xuz0Qa7U7H+nSV2rG8vui94s7p1XQjUEQEJ4Dr2itok\nBHoxAngDWPbG/tFsFsMPwuMdsI1k2GQEzwCWLp4BXM14B/Ao2I+yd8fWi70YYjW9jyAgAdxHOlKv\nIQTqiAA/fIBnAMuWX1bCVY13gKQzrGTWphM7Zg9fLYWrYw+qTVUiIAFcJbqqWwgIASEgBIRABIHR\nI+d1WggIASEgBISAEKgQAQngCsFV1UJACAgBISAEYghIAMeQ0XkhIASEgBAQAhUiIAFcIbiqWggI\nASEgBIRADAEJ4BgyOi8EhIAQEAJCoEIEJIArBFdVCwEhIASEgBCIISABHENG54WAEBACQkAIVIiA\nBHCF4KpqISAEhIAQEAIxBCSAY8jovBAQAkJACAiBChGQAK4QXFUtBISAEBACQiCGgARwDBmdFwJC\nQAgIASFQIQISwBWCq6qFgBAQAkJACMQQkACOIaPzQkAICAEhIAQqREACuEJwVbUQEAJCQAgIgRgC\nEsAxZHReCAgBISAEhECFCEgAVwiuqhYCQkAICAEhEENAAjiGjM4LASEgBISAEKgQAQngCsFV1UJA\nCAgBISAEYghIAMeQ0XkhIASEgBAQAhUiIAFcIbiqWggIASEgBIRADAEJ4BgyOi8EhIAQEAJCoEIE\nJIArBFdVCwEhIASEgBCIISABHENG54WAEBACQkAIVIiABHCF4KpqISAEhIAQEAIxBCSAY8jovBAQ\nAkJACAiBChGQAK4QXFUtBISAEBACQiCGgARwDBmdFwJCQAgIASFQIQISwBWCq6qFgBAQAkJACMQQ\nkACOIaPzQkAICAEhIAQqREACuEJwVbUQEAJCQAgIgRgCEsAxZHReCAgBISAEhECFCEgAVwiuqhYC\nQkAICAEhEENAAjiGjM4LASEgBISAEKgQAQngCsFV1UJACAgBISAEYghIAMeQ0XkhIASEgBAQAhUi\nIAFcIbiqWggIASEgBIRADAEJ4BgyOi8EhIAQEAJCoEIEJIArBFdVCwEhIASEgBCIISABHENG54WA\nEBACQkAIVIiABHCF4KpqISAEhIAQEAIxBCSAY8jovBAQAkJACAiBChGQAK4QXFUtBISAEBACQiCG\ngARwDBmdFwJCQAgIASFQIQISwBWCq6qFgBAQAkJACMQQkACOIaPzQkAICAEhIAQqREACuEJwVbUQ\nEAJCQAgIgRgCEsAxZHReCAgBISDEyGKNAAABEElEQVQEhECFCEgAVwiuqhYCQkAICAEhEENAAjiG\njM4LASEgBISAEKgQAQngCsFV1UJACAgBISAEYghIAMeQ0XkhIASEgBAQAhUiIAFcIbiqWggIASEg\nBIRADAEJ4BgyOi8EhIAQEAJCoEIEJIArBFdVCwEhIASEgBCIISABHENG54WAEBACQkAIVIiABHCF\n4KpqISAEhIAQEAIxBCSAY8jovBAQAkJACAiBChGQAK4QXFUtBISAEBACQiCGgARwDBmdFwJCQAgI\nASFQIQISwBWCq6qFgBAQAkJACMQQkACOIaPzQkAICAEhIAQqREACuEJwVbUQEAJCQAgIgRgCEsAx\nZHReCAgBISAEhECFCPwfAQ8hakMjNcgAAAAASUVORK5CYII=\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Arules run now from R, test complete\n"
     ]
    }
   ],
   "source": [
    "#==========================\n",
    "#IF USING R, RUN THIS CODE\n",
    "#==========================\n",
    "\n",
    "%R load(\"titanic2.raw.rdata\")\n",
    "%R rules <- apriori(titanic.raw,parameter = list(minlen=2, supp=0.05, conf=0.8))\n",
    "%R rules.sorted <- sort(rules, by=\"lift\")\n",
    "%R plot(rules.sorted, method=\"grouped\")\n",
    "\n",
    "print('Arules run now from R, test complete')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "___\n",
    "<a id=\"understand\"></a>\n",
    "<a href=\"#top\">Back to Top</a>\n",
    "## Understanding the dataset\n",
    "We have used the titanic dataset before in class, however this dataset has been pruned to only include the social class, sex, age (as a nominal), and if the individual survived. The data can be stored in many ways, but is stored here as a table of values. \n",
    "\n",
    "**Question**: Is this dataset a typical example of *transaction* data (*i.e.*, like the grocery store transaction data)? Why or Why not? What makes it similar or different? **Hint**: think about the possible itemset lattice and how it might be different/similar. What makes an item in this dataset?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "___\n",
    "Enter your answer here:\n",
    "\n",
    "*Double Click to Edit*\n",
    "\n",
    "\n",
    "\n",
    "___"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"apriori\"></a>\n",
    "<a href=\"#top\">Back to Top</a>\n",
    "## Frequent Itemsets and Apriori\n",
    "Run the following line of code to grab the R loaded data.frame and save it into a pandas dataframe. \n",
    "\n",
    "Please run the appropriate block of code for whether you have Ry2 installed or not!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 2201 entries, 1 to 2201\n",
      "Data columns (total 4 columns):\n",
      "Class       2201 non-null object\n",
      "Sex         2201 non-null object\n",
      "Age         2201 non-null object\n",
      "Survived    2201 non-null object\n",
      "dtypes: object(4)\n",
      "memory usage: 86.0+ KB\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "#==========================\n",
    "#IF USING R, RUN THIS CODE\n",
    "#==========================\n",
    "# Use rmagics to save the dataframe into pandas\n",
    "#(R output)(python var) ( this is all R code)\n",
    "%R -o df_from_R df_from_R <- titanic.raw\n",
    "\n",
    "# now we have the exact same dataset as the one from R\n",
    "# but it is now a pandas dataframe\n",
    "print(df_from_R.info())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 2201 entries, 0 to 2200\n",
      "Data columns (total 5 columns):\n",
      "Unnamed: 0    2201 non-null int64\n",
      "Class         2201 non-null object\n",
      "Sex           2201 non-null object\n",
      "Age           2201 non-null object\n",
      "Survived      2201 non-null object\n",
      "dtypes: int64(1), object(4)\n",
      "memory usage: 103.2+ KB\n"
     ]
    }
   ],
   "source": [
    "#===============================\n",
    "# IF NOT USING R RUN THIS CODE\n",
    "#===============================\n",
    "# getting things started\n",
    "import time\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "%matplotlib inline\n",
    "\n",
    "df_from_R = pd.read_csv('Rframe_as_pandas.csv')\n",
    "df_from_R.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x10f0f0c90>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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2lRFCCHH/kBly8Zdjyw4N4k8SP/tI/GwnsbOPxM8+Ej/7SPxsdytiJwNy8Zcj/yjYR+Jn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\no5SHRR955BGL9zBx4kRCQkLo1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LCwMIxGI66uroSGhrb4Lfn6sZ988kkOHjyovDdjxgy2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\nRAr6G81JZQ56si5tAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11076ab50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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D+snTYEJAGlMUdFUZGRlV68Q4IyMDT5484R7HRERERBVgfDSViyvH2uMKgPZY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6AAAg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\nhnFwTEREREQ07P8A8vJYxGXQTdQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f030d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#==========================================\n",
    "# RUN THIS CODE NO MATTER IF USING R OR NOT\n",
    "#==========================================\n",
    "plt.style.use('ggplot')\n",
    "\n",
    "# Now lets plot the number of times each itemset occurs graphically\n",
    "# find counts of the four itemsets\n",
    "f = plt.figure(figsize=(10,5))\n",
    "df_grouped = df_from_R.groupby(by=['Class','Age','Sex'])\n",
    "ax = df_grouped.Survived.value_counts().plot(kind='barh')\n",
    "plt.title('Support count for all 4-itemsets')\n",
    "\n",
    "# find all the three itemsets and concat them\n",
    "f = plt.figure(figsize=(10,7))\n",
    "df_grouped = df_from_R.groupby(by=['Class','Age'])\n",
    "countsA = df_grouped.Survived.value_counts()\n",
    "df_grouped = df_from_R.groupby(by=['Class','Sex'])\n",
    "countsB = df_grouped.Survived.value_counts()\n",
    "df_grouped = df_from_R.groupby(by=['Age','Sex'])\n",
    "countsC = df_grouped.Survived.value_counts()\n",
    "\n",
    "pd.concat((countsA,countsB,countsC)).plot(kind='barh')\n",
    "plt.title('Support count for some 3-itemsets')\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use the graphs above to estimate the values for the following quantities. You do not need to calculate counts from the dataset, just try to get close by viewing from the graph. Recall that for a given rule, $X\\rightarrow Y$, the confidence is given by \n",
    "$$c=\\frac{\\sigma( X \\cup Y)}{\\sigma( X )} $$\n",
    "\n",
    "**Questions**: Given the graphs above, what is the support count, $\\sigma$, and support, $s$, for the itemset {1st, Adult, Yes}? What about the itemset {1st, Adult, Yes, Female}?\n",
    "\n",
    "**Question**: What is the confidence, $c$, for the rule {1st, Adult, Yes} $\\rightarrow$ {Female}? "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "___\n",
    "Enter your answer here:\n",
    "\n",
    "*Double Click to Edit*\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Insert any calculations needed to answer the above question here\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "___\n",
    "**Question**: What is the support count (an integer) for a *minsup* threshold of 0.25? Using the support count graphs above, which itemsets would be considered frequent with a *minsup* of 0.25? Are any of the 4-itemsets also maximal for this value of *minsup*? Why or Why not?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "___\n",
    "Enter your answer here:\n",
    "\n",
    "*Double Click to Edit*\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Insert any calculations needed to answer the above question here\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
